Answer :

Step-by-step explanation:

Simplify the expression \sqrt{x^{2}+12}- \sqrt{12}.

Write the expression as a product where the root of one of the factors can be evaluated.

sqrt(x ^ 2 + 12) - sqrt(4 * 3)

Write the expression in exponential form with the base 2.

sqrt(x ^ 2 + 12) - sqrt(2 ^ 2 * 3)

Use the property that the root of a product is equal to the product of the roots of each factor.

sqrt(x ^ 2 + 12) - sqrt(2 ^ 2) * sqrt(3)

Take the square root of 2 ^ 2

sqrt(x ^ 2 + 12) - 2sqrt(3)

Substitute x = 0 into the simplified expression.

sqrt(x ^ 2 + 12) - 2sqrt(3)

sqrt(0 ^ 2 + 12) - 2sqrt(3)

Simplify the expression.

0

Solution

The limit is 0.